Cayley树上的协同顺序吸附模型:解析结果及应用
Cooperative sequential adsorption models on a Cayley tree: analytical results and applications
摘要:
我们提出了一类Cayley树上具有恒定和可变吸附率的合作顺序吸附模型及其在离子自组装薄膜和药物包封纳米颗粒中的可能应用。使用空区间方法,并推广已知的结果从反应扩散过程的凯莱树,我们计算了各种数量,如随时间变化的表面覆盖率和随时间变化的概率的某些粒子配置。
英文摘要:
We present a class of cooperative sequential adsorption models on a Cayley tree with constant and variable attachment rates and their possible applications for ionic self-assembly of thin films and drug encapsulation of nanoparticles. Using the empty interval method, and generalizing results known from reaction-diffusion processes on Cayley trees, we calculate a variety of quantities such as time-dependent surface coverage and time-dependent probabilities of certain particle configurations.
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